Superconformal transformation properties of the supercurrent II: Abelian gauge theories

We derive the superconformal transformation properties of the supercurrent for N = 1 super symmetric QED in four dimensions within the superfield form alism. Superconformal Ward identities for Green functions involving inserti ons of the supercurrent are conveniently derived by coupling the supercurre nt to the appropriate prepotential of a classical curved superspace backgro und, and by combining superdiffeomorphisms and super Weyl transformations. We determine all superconformal anomalies of SQED on curved superspace with in an all-order perturbative approach and derive a local Callan-Symanzik eq uation, Particular importance is given to the issue of gauge invariance. (C ) 2000 Elsevier Science B.V. All rights reserved.